{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from prob_distribution import (\n",
    "    RandomVariable,\n",
    "    Gaussian\n",
    ")\n",
    "np.random.seed(1024)"
   ]
  },
  {
   "cell_type": "markdown",
   "source": [
    "## 1.1 Gaussian distribution"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%% md\n"
    }
   }
  },
  {
   "cell_type": "markdown",
   "source": [
    "### 1.1.1 single variable"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%% md\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "gaussian = Gaussian()\n",
    "x_train = np.random.normal(0, 0.1, 100)\n",
    "x = np.linspace(-1, 1, 100)\n",
    "gaussian.fit(x_train)\n",
    "y = gaussian.pdf(x)\n",
    "plt.plot(x, y, c='r', linewidth=3)\n",
    "plt.hist(x_train, bins=30, color='b', density=True)\n",
    "plt.xlim(-1, 1)\n",
    "plt.ylim(0, 5)\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "markdown",
   "source": [
    "### 1.1.2 Bayesian inference for Gaussian"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%% md\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mean = Gaussian(0., 0.1)\n",
    "model = Gaussian(mean, 0.1)\n",
    "x = np.linspace(-1, 1, 100)\n",
    "plt.plot(x, mean.pdf(x), label='N=0')\n",
    "model.fit(np.random.normal(0.8, 0.1, 1))\n",
    "plt.plot(x, model.mean.pdf(x), label='N=1')\n",
    "model.fit(np.random.normal(0.8, 0.1, 1))\n",
    "plt.plot(x, model.mean.pdf(x), label='N=2')\n",
    "model.fit(np.random.normal(0.8, 0.1, 8))\n",
    "plt.plot(x, model.mean.pdf(x), label='N=10')\n",
    "model.fit(np.random.normal(0.8, 0.1, 90))\n",
    "plt.plot(x, model.mean.pdf(x), label='N=100')\n",
    "plt.legend()\n",
    "plt.xlim(-1, 1)\n",
    "plt.ylim(0, 5)\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\98311\\PycharmProjects\\Sunrise-ML\\prob_distribution\\gamma.py:14: RuntimeWarning: divide by zero encountered in power\n",
      "  return self.b ** self.a * X ** (self.a-1) * np.exp(-self.b * X) / gamma(self.a)\n"
     ]
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 4 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from prob_distribution import Gamma\n",
    "x = np.linspace(0, 2, 100)\n",
    "for i, (a, b) in enumerate([[0.1, 0.1], [1, 1], [2, 3], [4, 6]]):\n",
    "    plt.subplot(2, 2, i + 1)\n",
    "    plt.plot(x, Gamma(a, b).pdf(x))\n",
    "    plt.annotate(f'a={a}', (1, 1.6))\n",
    "    plt.annotate(f'b={b}', (1, 1.3))\n",
    "    plt.xlim(0, 2)\n",
    "    plt.ylim(0, 2)\n",
    "plt.gca().set_aspect('equal', adjustable='box')\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\98311\\PycharmProjects\\Sunrise-ML\\prob_distribution\\gamma.py:14: RuntimeWarning: divide by zero encountered in power\n",
      "  return self.b ** self.a * X ** (self.a-1) * np.exp(-self.b * X) / gamma(self.a)\n",
      "C:\\Users\\98311\\PycharmProjects\\Sunrise-ML\\prob_distribution\\gamma.py:14: RuntimeWarning: divide by zero encountered in power\n",
      "  return self.b ** self.a * X ** (self.a-1) * np.exp(-self.b * X) / gamma(self.a)\n"
     ]
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "prec = Gamma(0.1, 0.1)\n",
    "model = Gaussian(0.8, prec=prec)\n",
    "plt.plot(x, prec.pdf(x), label='N=0')\n",
    "model.fit(np.random.normal(0.8, 0.1, 1))\n",
    "plt.plot(x, model.prec.pdf(x), label=\"N=1\")\n",
    "model.fit(np.random.normal(0.8, 0.1, 1))\n",
    "plt.plot(x, model.prec.pdf(x), label=\"N=2\")\n",
    "model.fit(np.random.normal(0.8, 0.1, 8))\n",
    "plt.plot(x, model.prec.pdf(x), label=\"N=10\")\n",
    "plt.legend()\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.stats import t\n",
    "# u=0, lambda=1\n",
    "x = np.linspace(-5, 5, 100)\n",
    "for i , v in enumerate([0.1, 1.0, 10000]):\n",
    "        plt.plot(x, t.pdf(x, v), label=f'v={v}')\n",
    "plt.legend()\n",
    "plt.xlim(-5, 5)\n",
    "plt.ylim(0, 0.5)\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 2 Axes>",
      "image/png": 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ERImAAUucCTdgqUI64EhTHzBgISKiOMWAJc4EDwl1HLAAEtBrsHpYXcRdm4mIKC4xYIkzA6RyAIBL2FGBzM69KLNA/VPxAvVHotQyIiKi6GHAEk+E0DIsh0QORGf/+TIHBI5rDkWhYURERNHFgCWeNB1FmtQMoHPzVzSZ/QPHtQcj3CgiIqLoY8AST2qKtcPOLGnWZOgzLAxYiIgo/jBgiSfVgYClyxkWDgkREVEcYsAST6qLtMOwApYMDgkREVF8Y8AST2oD2ZHDYQUs/QBI6jEzLEREFIcYsMST2sPaYQmyO/86qx1I922UWMuAhYiI4g8DlnhSV6IdHhG9wnutf1iovgzwuiPYKCIiouhjwBJPfBmWapEKFxzhvVabeCuAusPtXkpERGQ2DFjihRBAXSkAoFSEMRzkl8HicUREFL8YsMSLpqOA7ALQheEgoMXSZq4UIiKi+MKAJV7oJtx2LcPSL3BcXxqBBhEREcUOA5Z4oZtwW4ouZFjS8nXvxYCFiIjiCwOWeKHLsBzpSoYlXR+wlLR9HRERkQkxYIkX+gxLV+awBAUsRyLQICIiotixGd0A6qSgDEsXAhZ7MpCUCTTXMMNC1AMMnvdxWNfvf+z8KLWEKDKYYYkXunknXRoSAgLzWOqPqMukiYiI4gQDlnjhK/bmFlZUIr1r7+EfFvI0Aq7aCDWMiIgo+hiwxItadRinDL0guvrPxnksREQUpxiwxAOvC2isANDF+St+XClERERxigFLPKgv0w67FbDoa7HUM8NCRETxgwFLPNAFLOUis+vvwwwLERHFKQYs8UCXDSkXWV1/n/S+gWNWuyUiojjCgCUeNAQyLBXoToYlL3DMgIWIiOIIA5Z4EKkhIe4nREREcYoBSzyI1JCQIwVw+gIe7thMRERxhAFLPNBlWCq6k2EBAhNvmWEhIqI4woAlHtRHaA4LAKT1Uf/0NAKu+u69FxERUYwwYIkH/iGhpEy4Ye/ee6X2DhzrJvMSERGZGQOWeNBQrv6Zltf+dZ3hz7AAQH1599+PiIgoBhiwmJ2rHnD7hm4iEbAww0JERHHIZnQDqLXB8z7WjgdKR7DaqR5/tMfT/TfXZ1gamGEhIqL4wAyLyeWiRjvu1pJmv1QOCRERUfxhwGJyvaVq7bjbS5oBDgkREVFcYsBicr0lXYalu0uaASBNF7DUM2AhIqL4wIDF5IIClkgPCXEOCxERxQkGLCbXG9Xacbf2EfKzJwHODPWYGRYiIooTXCVkcpHIsOhXHQHAZ44UDLXUMsNCRERxgxkWk8vVBSxVSG//YkszHDkr4MhZAVia27xMK+/vqgU8bV9HRERkFsywmJx/lVClSIe33X8uGSkF/4A1pQgAYEvbjsYDtwGwtroyaLVRQzmQVRC5BhMREUUBMyymJtDbV4elo+EgW8b3WrACANaUItgyvg95bXDAwnksRERkfgxYTCwdTXBKanXbCpHR7rX2rA2tz2VuDHltUMDC4nFERBQHGLCYmH7+SkV7NVgsLlhT9gEAFHcvKO4sAIA1ZS8guVpdHvRezLAQEVEcYMBiYjm6svyV7SxptqbsgSTJAABv/Qh4G0YAACSLDGvqnlbXB2VruLSZiIjiAAMWE8uR6rTjStH2CiFr8gHtWG48BnLD8JDP+bWadEtERGRyDFhMLFuq1Y6r0PYcFmvSIe1YbiqA3DQw8FzywVbXBw0JMcNC1MPJcOZ9iGmLp+G3a3+LJm+T0Q0iCqlLAcuCBQswZMgQJCUlobCwEGvWrGnz2s8//xynnXYacnJykJycjJEjR+Kpp57qcoN7kmzoMyxtBSwC1mQ1YFG8aRDeDAhvBhSPer016SAAJegVzLCQEdhvmJMjZzUc2etQ2VyJ93e/j2e+ecboJhGFFHbAsnjxYsyZMwfz58/Hpk2bMHnyZMyYMQNFRUUhr09NTcUvfvELrF69Gtu3b8d9992H++67DwsXLux24xOdftJtWwGLZK+CZFXviJTm/gAkAIDcPEB93uqCZK8Kek0jktAonOoDZlgoBthvmJUMe3Zw4Pjvnf9GnbuujeuJjBN2wPLkk0/i5ptvxi233IJRo0bh6aefRkFBAZ577rmQ148bNw5XXXUVRo8ejcGDB+Paa6/FOeec0+7dFamydXNY2qpya00q0Y7lpv7aseLK044tztZBiTbxlhkWigH2G+ZkTdkHi60x6JxbcePzQ58b1CKitoUVsLjdbmzcuBHTp08POj99+nSsW7euU++xadMmrFu3DlOnTm3zGpfLhdra2qCvnigbujksbWRYLI5AwKG48nXHgV2ZrY7WQYk2j6WpCpA93W0qUZvYb5iXLX27dnzZsZdpxyuKVxjRHKJ2hRWwVFRUQJZl5OXlBZ3Py8tDaWlpu68dMGAAnE4nxo8fj9tvvx233HJLm9c++uijyMzM1L4KCnpm6fhc36Rbt7CiFikhrwkKWNy5gWNdwGJxHmn1uqAhpsaqVs8TRQr7DfPyryIUQsKd4+5Eik3tZzaVbTKyWUQhdWnSrSRJQY+FEK3OtbRmzRps2LABzz//PJ5++mm8+eabbV577733oqamRvsqLi7uSjPjnn+VkLpCKPT31+Ko0I6DAhZ3bwihvibUkFBQxqaxotXzRJHGfsNkJA8sviFlxd0bvZJ6YWzuWABAaUMpjjS0vtEhMlJYmx/m5ubCarW2uisqKytrdffU0pAhQwAAY8eOxZEjR/DAAw/gqquuCnmt0+mE0+kMp2kJSKCXb5VQW8NBQCBgUTyZgHDoXu6A8PSC5KiCxVEGQEAf9ATNiWlgwELRw37DnCzOEq3gpNKkTtI/vvfx+Kr0KwDAdxXf4ezUsw1rH1FLYWVYHA4HCgsLsXz58qDzy5cvx6RJkzr9PkIIuFytS8ZTQAYa4fB1Jm0WjbM2QPJNmFPcvVs97c+4SFY3JGtD0HMVzLBQjLDfMCd9jSa5WR0+G507Wju3s2pnzNtE1J6wMiwAMHfuXFx33XUYP348Jk6ciIULF6KoqAizZs0CoKZlDx06hNdeew0A8Le//Q0DBw7EyJEjAaj1FZ544gnccccdEfxrJJ4cXdG4yjaKxrU1HKSd82Rrx5K9CkJO0x4HZW2YYaEoY79hPhZn6xWGx2Qdo53bU916Ww8iI4UdsMycOROVlZV46KGHUFJSgjFjxmDJkiUYNGgQAKCkpCSotoKiKLj33nuxb98+2Gw2DBs2DI899hhuu+22yP0tElD4K4RCBCzubN21VVCaAxVwgyrnMmChKGO/YT76uW2KW52kPyBtAJxWJ1yyC7urdxvVNKKQwg5YAGD27NmYPXt2yOdeeeWVoMd33HEH74q6ICjD0mbAEljdo3haByxCl2Gx2CuDngsaZuKQEMUA+w1z8d/wKJ4MQEkCAFgtVgzJHIIdVTtQXFcMt+yGw+po722IYoZ7CZmUvmhcm0NCtqPasfBktXpecffSjiXH0aDnOCRE1HNJ1gatYJw/u+I3NHMoAEAWMvbX7o9104jaxIDFpHKChoRCT7qV7NXaseLp1ep5xZOjHVtalOcPCoIag7MvRJTYgoeTgyfsD8saph3vrdkbszYRdaRLQ0IUfZ0aErKrWRMhJwNKiOWcShKENwWSrTFo+AgAXHAA9lTA08AMC1EPEzx/RQ1YBs/7GABgS69EsrrKGXe+9T+4K+U232f/Y+dHr5FELTDDYlLZuoClKuSQkAzJrl6jhBgO8vOvFJJsNQC8wU+m+ua9cA4LUY+i3xC15QrDlqsLicyCAYtJZUM3hyVEhkWy1UGSFAChh4P8/M9JkoBkrwl+UgtYqgCl7bsoIkos/uwsELyasOXjlplZIiMxYDGpjvYR0nc4op2ARXgyda9pEbCk+O+sBPcTIupB9IGI8GYFP6kkQ8jqqqGWc9+IjMSAxaT8Q0JHkY5Q+wgFT7jNavN99M+pw0I6qbpUMIeFiHoMyXfDo3gyANFyKqMUGEq2VwNg9pXMgQGLKQmtcFybReN0AUu7GRZvexmWwCoiTrwl6iEkDyy2egBt9x3+YSFJUoJujoiMxIDFhNLRpO0jVNFGwCLpx6DbzbAEAhbJVh38JDMsRD1O0PyVNgKW4KKTHBYic2DAYkI5UiATEnqFUNcyLK0m3aboAhZmWIh6BKkTAQsn3pIZMWAxIf0KoY6KxgnFDiG3npTrJ7zpEEL9Z241JJSqKxjF4nFEPUJnJuzrAxkOCZFZMGAxoU4VjbOp1whvBkJNytVdCeFVg57Wk271c1jKQUSJLyjD4m5rSChLO7a07DeIDMKAxYQ63EdIckOyNgPwzfLvgL/zsdgaAMkTeIJDQkQ9jsXRiSGhoKHk6mg3iahTGLCYUA50c1hCFo0LZGDUDEv7gjof3WuDJ91ySIioJ9C29BBS6xosfkoShOz0Xc8MC5kDAxYTytFnWELMYbHYwwtY2iwe50gFbMnqMTMsRD2Cf7WgkNNC1GAJ8N/oqEPJIgYtI2ofAxYT6mgfIX2WROlMhiVoaXNb5fkZsBAlPhmSVoOl/b7DP5QsWbyQrI3RbhhRhxiwmFAOAgFJqDosQUNCnZnD0l7xuKD9hJQwW0pE8USy1UOS1GxJRzc77dZwIjIAAxYT8q8S8ggrapHa6nlLuHNY2ut4/BNvhQw0t3iOiBKKPsOqv5EJpd0aTkQGYMBiQv5VQm3vIxTekFCnMiwAlzYTJbig+W8dZGeV9jZOJTIAAxazEYF9hNqqwRLuKiG1eJzke21d8JPcT4iox9BnWDq62dGvIOKQEJkBAxazcdXCKXkBhF4hBOiKxsnJgLB34k0tEN40AC2WNQPcT4ioBwm+2elgSIgZFjIZBixmo8tyhN5HSGidTmeKxmmv8t1NqSsEdJNrWTyOqMcIb0goSztutbqQyAAMWMxGV8At5JCQpQmSRc3AdGY4yE8rzy8pkKwNgSdYPI6oxwgeEmo/wwLhgJCTAAQHOkRGYcBiNrosR6iAJdyicX768ergare6DRCZYSFKaP45bEJxAIqzw+sVLTNbCxaPI6MxYDEb3UqdSBSN8/NnWABAsusm3uon3XIOC1FC829kqA4HtbdpKnTXAZLFA1hc0WwaUYcYsJhNoz7D0nrSbbgrhEJda2lrPyEuayZKXJZmSFY3gM7f7LTZbxAZgAGL2TQE5pGE2vhQv9V7Z6rc+in6DIu+43GkAVZnq88mosRiCWOFkF+bQ8lEBmDAYjb6DEuoISHdcE54Q0L6jkc3JCRJ3E+IqAcImnDbyZsd0daNDpEBGLCYjW5YJtSk20gMCbXqePzzWBorAcGJdUSJSOrChP2gISGuFCKDMWAxG99KHa+woBYprZ7WisYJSSsG1xnCm6ZVu7W0rHbrz7AoXu4nRJSgOCRE8c5mdAOoBV8tlKNIhwgRT/o7DTVYsYbxxmq1W8lep73H4HkfAwCetLvxE99b/eiht7FX9MP+x87v8l+BiMwneEiocwFL8JBQXTtXEkUfMyxmIoSWYakIuY+QHKijEMZwkPb2bVS7rdKtRvLvY0REiaXbQ0LMsJDBGLCYiasOkNVaB6FWCEm2BkiSOsekawFL6Gq3+s/KkXgXRZSIujScLGxQvOrQNIeEyGgMWMykUb+PUPs1WMJZIRTqNfq7Lf1qpGyJnRJRIvIPCak3Lp0fThasdksmwYDFTBra30coqAZLNzIsQPB4tP6zssEMC1HikX1DweH3HVrAYpEBa2PEW0bUWQxYzKSx/X2E9EFGODs1+7U1Hq2fw5IrcVdWokQj2eq14eRws7P6G51WKwyJYoirhAziX6Gjd7l1Jf5kV49D7iPUxY0P/dpaohg8JMQOiSjRBNVvCvNmp1W/4cqPWLuIwsEMi4nk6lboRLJoXOA1oYeEqoKGhDiHhSjRBNdgaT0/rj3tFp0kiiEGLCain/BaFWLjQ0u3A5bQQ0J1SIZLqMk2rhIiSjxBw8kcEqI4xYDFRPQBS8h9hLRliVYIuXUV3I7oq90GF4GStCGoHM5hIUo43RlO1s+XY4aFjMSAxURyoB+mCbWs2V80Lh2A1IVPsGj1F1p2PP7P64U6cOkiUWLpznAyh4TILBiwmIg/wyILCdVoWdjJC4tNLfYW7qQ5vbaq3frnzDgkGRng0kWiRKIfygk/YNENCXEDRDIQAxYT8a/QqQqxj5C/hgIAKGFOmtNrq9qtfggqh8XjiBJK94aTrVDayMwSxRIDFtMQyIU6fyR0Wf7uTbj1a6vaLVcKESWuwKapXRtO1m50bHXQZ2aJYokBi0mkwIUkyQMgdMBi6WYNllCvDa52G8jaMMNClEi6P5ysDSVLCiRWuyWDMGAxieAVQm1PuAUiMyQEtKh2y+JxRAkpEsPJSlANJ97QkDEYsJhEDkIPz/hFZUhIX+1Wv2Mzh4SIEkYk+g59ZkbixFsyCAMWk9BnNUJvfBiNIaE2AhYOCREljEgMJ7dVdJIolhiwmEROh0XjIjQk5NF3PLq6L7phqGwGLEQJIxJ9R1uZWaJYYsBiEtlBQ0Kh5rD4ZvkrVqALVW79hJwKISxB76l+pn6VEOewECWKiAwJMWAhE2DAYhL6DEvInZq1ZYkZ6FqVWz9dtVtdqrgWKXALKwAglxkWooQRieFk4ckM+X5EscSAxSRy2pvDInlhsalLCbszf8VPeNXOR7LWA5D9H6IFShwSIkocQUNCXV3WrM/MctItGYQBi0noh4RaBiySNTLzV1q+hySJoCWP/mGhbNQCgvsJESWCwHCyDVCSu/gube9DRhQrDFhMwp/VUELsI9SdnVZD0ad3g1cKqYGMQ5IBFzslokTQ3Sq3foHMbAMCmVmi2GHAYhL+nZqPIg1Ki3+WSC1pDvUeFnuNdhy0OqmhotufQ0QGi+BwcnBmlhPzKfYYsJiEP8PSUdG4SA4Jqe+tW9osGLAQJZLg4eTuBSxtZWaJYoUBiwkkwYVUyQUguB6Kn9SNreFD8ad21ffWZVj0AUsjAxaieBc8nNy9m53gzCwDFoo9BiwmkNPOhFugxZBQF2f56wUXj9Mvp9Z1aA3l3f4cIjJWJIeTuZ8QGY0Biwl0VJY/UlVuA+/RcXl+DgkRxb9IDicHZ2YZsFDsMWAxgU4XjevWskQdJQlCsavvbW8jYGms7P7nEJGhgoaTu5mdbSszSxQrDFhMILgGS+u7IP+eP92vcusnaenh4CEhZliIEgmHhCiRMGAxAf2QUKtVQpIHkm9ZYiSGg/z8FS8lazMguQG0CJY4h4Uo7kV0OFlJDpmZJYoVBiwm0N5OzZFeIRTqvfx3S7VIhce3nxBXCRHFv8gOJ4fOzBLFSpcClgULFmDIkCFISkpCYWEh1qxZ0+a17777Ls4++2z07t0bGRkZmDhxIpYuXdrlBici/e7ILXdqjnTRuFDvFViiKAVWCjVwDgtFFvuN2PP/bkdqODlUZpYoVsIOWBYvXow5c+Zg/vz52LRpEyZPnowZM2agqKgo5PWrV6/G2WefjSVLlmDjxo0444wzcOGFF2LTpk3dbnyiyJH0tVAyg56L5KQ5vbZWCmlDUo0V3E+IIob9hgEkDyRrE4DuF43zC5WZJYoVW7gvePLJJ3HzzTfjlltuAQA8/fTTWLp0KZ577jk8+uijra5/+umngx4/8sgj+OCDD/DRRx9h3LhxIT/D5XLB5XJpj2trE/sXQ79T89GW+whFuMqtnz74CbWfEGS3up9QUmbLlxKFjf1G7EVjOFlffI7DQhRrYWVY3G43Nm7ciOnTpwednz59OtatW9ep91AUBXV1dcjOzm7zmkcffRSZmZnaV0FBQTjNjDv+VUJHRRpkWIOe0+/1o6+D0F1BQ0L6gAW6z+BKIYoA9hvGCB5OjszNjqKvxcKJtxRjYQUsFRUVkGUZeXl5Qefz8vJQWlraqff485//jIaGBlxxxRVtXnPvvfeipqZG+youLg6nmXHHv0qo5fwVILh0vuKJXMASNCRk1w8J6drAWiwUAew3jBGNvoNDQmSksIeEAECSgidvCSFanQvlzTffxAMPPIAPPvgAffr0afM6p9MJp9PZlabFHQc8SJfUceaWK4QAQArKsER3lRDQstotlzZT5LDf6J7B8z4O63p7duSzsyweR0YKK8OSm5sLq9Xa6q6orKys1d1TS4sXL8bNN9+Mf//73zjrrLPCb2mC0heNC7VTs79TEN4UQDgi98HCDiEnB30GwOJxFHnsN4xh0WVYRIQyLG1N1ieKhbACFofDgcLCQixfvjzo/PLlyzFp0qQ2X/fmm2/ixhtvxD//+U+cf/75XWtpggqqwdIqYFG0tG6kZvkHvbt/iaKtFoBo3QbWYqEIYL9hDH12NiqrhDiHhWIs7CGhuXPn4rrrrsP48eMxceJELFy4EEVFRZg1axYAdRz50KFDeO211wConc7111+Pv/zlLzj11FO1u6zk5GRkZnIFSnDRuOA5LJK1EZJFBhDZCbd+audzBJLFC1gbATm1RbVbzmGhyGC/EXv+CftCSJErieDLzErWJm3LEKJYCTtgmTlzJiorK/HQQw+hpKQEY8aMwZIlSzBo0CAAQElJSVBthRdeeAFerxe33347br/9du38DTfcgFdeeaX7f4M4F1w0rkWVW3t0Jtz6Ba8UqoMip7YYEuIcFooM9hux58/OCjkNXZyuGJLiyYDV2gTJVtPpeUhEkdCln+LZs2dj9uzZIZ9r2ZmsXLmyKx/RYwTt1NwyYLFFZ0mzX6vxaFc+h4QoathvxJKs1WGJ1PwVP31mttZdi0wnM14UG9xLyGDZ7QwJWaKdYdG9p8VeDQCoRUpgPyFOuiWKS5KtHpKkzkuL9Pw3fWa2rLEsou9N1B4GLAbLgX7Sbcuy/JGf5a8XVATKnz6GBUf9gRPrsBDFpWj2HfoA6EjjkYi+N1F7GLAYLFe3j1BFi4AlWlVutff0ZOk+q1o71ibeNpRzPyGiOBTNvkPfb5Q2dK7wH1EkMGAxmD9gUYQUYh8h/bLEKGRYPPoy24HP0ubSyG7AxZUARPEmWhWy1ffL0o5LGkoi+t5E7WHAYrBc3xyWKqS3uY+QkJMAJQoVPJVkCFktRmexVWungyrucuItUdxhhoUSEQMWQwnkQu1YWg4HASJQNC4K81dUEhRvlnpkr0bI4nGceEsUd6KaYdEFQAxYKJYYsBgoDU1IkjwAgIqWVW6tjWpBN0Rn/oqf/25JsnghWRsAtNgAkQELUdyJ1h5kAAAlSc36ggELxRYDFgPpJ9xWosWEW1vky2qHoh+P9ndyVRwSIoprFm1Lj1RA2CP+/v6sTWlDKRShRPz9iUJhwGIg/3AQ0HpISL9PRzSWNGvvrcve+OexBGV76llngSi+KFr/EfHsio/wDSW7FTeqmqui8hlELTFgMZC+ym2rJc1RrnLrF5xhqW7dFpbnJ4orkrUBkqRmPaJ1s6PvN440sBYLxQYDFgP11tdgQct9hKq14+hNum1Z7VZtTzmyAhcww0IUV4L6jijd7AgubSYDMGAxkH4OS3mronFHtWPh6RW1NgRlWLQhIWZYiOKVvgikPrCIJP1NFCfeUqwwYDGQfg5Lq7L8uoBFiVKnA7SYw+Lr6BqRBNhT1ZP1TPcSxZPg7Gx0bnb8c1gAZlgodhiwGCi3vTksvk5H8aYBwhG9Rgi7+hkI7uiQ1lv9k0NCRHElODubFZXPYIaFjMCAxUA5Qcua9XNYvJBsvln+Ucyu+Gm1WGx1AGT1ZFqe+mdzNeB1Rb0NRBQZwdnZaGVYMiGEBIABC8UOAxYD+YeEakQK3AjUSpDsNYGt4aM4f8XPf7ckSUILlJDaO3AB57EQxQ1/hkUIK4Q3vYOru0jYIGQ1M8uAhWKFAYuB/ENCrYeDYjPhVvsM3Xi0tgeJP8MCcB4LURzxDyerKwCj18X7M7PlTeXwyJ6ofQ6RHwMWgzjhRrrUBACoQMsJt9XacTQn3AY+Q79rsy9YSusTuKCeGRaiuGBpgmRtBhD97Ky/3xAQONLImxqKPgYsBgmqwdJiHyFLDMag9fRZHEvIgIWdEVE8iMWE21Dvz5VCFAsMWAyS005Z/lgPCSmebO1YcvjKbKfqApYGrhQiigexvNnRv/+h+kNR/SwigAGLYXKl9vYRik0NFu0z3KEyLPo5LAxYiOJBLGqwhHp/BiwUCwxYDKKvwdJqp2b/pDk5GVCSot8YJUXbLt5i92VY0nSrhBiwEMWFWGZnhTtHOz5YdzCqn0UEMGAxTPBOzfo5LDIk30qdWMxf8fMPC6mfLbcYEuKkW6J4EMvsLDMsFGsMWAzS1pCQZKvTdlqNxXCQn+L2BSySogYtjhTA4avhwEm3RHFBy84KS9R2atYIB3KS1CzLoToGLBR9DFgMErTxIfT7+cR2wm3gswITb1sNC3FZM1Fc8GdYhDcDgDXqn9c/vT8AoKypDM3e5qh/HvVsDFgMkovQ+whJjkrtWD8ZNtr06V2Lf6WQf+KtqwbwsDMiMjXJBYutEUDssrMD0gZox4cbDsfkM6nnYsBiEH+GpVE40YTAxFotWACgeHJj1h7/kBCgGwcPKs/PibdEZmbR3ezoJ8RGU/+0/toxJ95StDFgMUgfSQ0KykRW0HmLXd/pZCNWlJBDQlzaTBQvgm52YtR3FKQXaMeceEvRZjO6AT2SpwmZkpq6LUNW0FP+uyQhpKAgItr0VSsDQ0L6arcMWIjMTH+zE6vs7D1vFiNlkHr8wJI1uPeVjHav3//Y+TFoFSUqZliMUBfY3bRVhsUfsHgyARHDeFLYoXjUzib0fkJcKURkZsHz32IzJKSf+ybZq9q5kqj7GLAYQfeff7k+YLE0QrKqGyIqnth0OHr+jI7FVo9GTyNrsRDFEUtQwBKb7KzwZEIIi+/zGbBQdDFgMUJQhkW/Oif2d0h6Qrcq6WD9wRZzWJhhITIzLTvrTQGUlBh9qlUbTlbnvokYfS71RAxYjKD7z18/JKS/Q4nVLH89/bh3cW0xy/MTxQvJC8nmr5Ad275DKzppdUGyNsb0s6lnYcBiBH2GRTfp1mKv0I4NGRJyBQKW/bX7OSREFCcs9ipIkprdiNVwkJ/iDvQbkqOinSuJuocBixF0GZYjIkTBNsS+01E/M9DxHKg9ANiTAKevqB2HhIhMy4gJt4HPC/QbFgdvbCh6GLAYoY1VQkZ2OupntghYgMBKoToGLERmFbykOdYBS2Do2MIMC0URAxYj+LIVLmFDNdK00/5OR/GmAcIZ+3YJp7a0eX/tfvVcer76p6cBcNXFvk1E1CEjqtz6BWdYGLBQ9DBgMYIvw1KOLACSek5yw2JXAwIjsit+/s6nqrkKte5aIL1v4MnaEoNaRUTtMXKFofBkQQirrx0MWCh6GLDEmuwBGtVf6vKgFUKBsV8jVgj56e+WimqLgAxdwFLHgIXIjLQlzbIDQk7r4OpIs2pz7tSARYnx51NPwYAl1nTLg4OWNDsDAYvi7gOj6AOW/bX7gzMsurk3RGQSkkerMqvOJ5Fi3gT/PBbJ4oVkq+3gaqKuYcASa/WhJ9xaHIFARnH1hlFaTbz1z2EBgDpuH09kNhZHpW5JszF9h9DPY3FypRBFBzc/jLW6NorG6X7JZQMzLPqO50DNAWDI+MCTzLAQmY4RNzsSFBRI5ThWOog+UjXKPIfwle+5Cc7PYWtqxH6Rj2LRG4L3xRQhDFhiTZ9hgb4GixqwCGGFMKAGi5/izoYQEiRJ+IaE9BkWzmEhMhuLUxewRPFmpx8qcLZ1I6ZavsUEy3akSi7tuQ3Cia+gbuVxfNIGzHMsBwBUiTSsV0ZhjTIWS+RTotY26hkYsMRayAyLos2uV2f4W2PerAAbhCcbkqMSB2oPQKTlBUbEuUqIyHT0E/YVV2QDFgsUnGP5GldZP8Ppli2wSKH3Chrs8WjH++2B/1aypXqca/0a51q/xgO2V4E33gMm/AwYdiYgxX6uDcU3BiyxFmIOi2Q/CsniBWDs/BU/xdUbFkclGr2NKHUdRd+UHKCxkkNCRCbkz7AIYYnYkmYrZFxiWYvZtg8wzNL6RqVMZGGTcgx2igE4KHqj2p0Ki/wRFKsH39iz8Zz3VAyXDmK85QdkSQ0AALskA7uWql99RgPTfgOMuoiBC3UaA5ZYC1Hl1iwrhPxkVx5s6TsAAKc/9U/8x5OKUZZKuKsP4dh5/8H+xy4wuIVEpApkZ9Wh5O536adatuEB26sYaSkOOn9A6YN35ClYpozHDlGAlquRUlwbYE0pQpO9CY/LPwGEExIUHCcdwAXWL3GRdR36S756MWVbgX9fDxRMAKb/ASg4udvtpsTHgCXWfAGLLCRUQt2nxywrhAJtyNOOLc4jOOLuhVEogkOSkQ1WuyUyC8leDcmiDsfI3VwhlIU6PGh/FRdb1wWd/1IZhWe9l2CtMrrdCbSyKw/WlCIAatZHaS6AgAVbxRBs9Q7Bn7wzsfd6BVj7DHBog/qi4q+Al84GTrkVOPN+wBnrGjIUTxiwxJqvLH8FMqH4fvmDJ82ZK2CxOo+gtDYwOThPOmpEk4gohEjNX5lq+RZ/sr+APlK1du47ZQh+77kW68WoTr1H8I1OKZTmguDnYQGOu1AdBvrhU2D574CKHwAIYP1C9dwlzwODT+vy34MSG9ebxZLs0TIsJSKwEsjqDEzENcOQkOLuAyHUdK/FeQRHwICFyIwsQX1H+Dc7Nnhxv+1VvOp4XAtWjoo0/MZzKy52P9zpYAUAFFdgRaG+T2tFkoARM4CffwGc8whgS1bPVxcBr14ArH4CUFgtl1pjwBJLdaUA1Fn2JcI/OU7ROh3FnQ0oBmx62JKwa9sDWJxlOKKrF9OHAQuRaVidgTlx+oChM3JRgzccj+Am21Lt3Er5BEx3PY7F8hlh109pmWHpkNUGTLwdmL0OGHS6ek4owGcPA/+8HGhiX0PBGLDEUm2gUmypL8OirhByAwDkMDucaJJ9nY9k8aDI5tDO54OdCJFZWJLUwEAIKShg6MgYaS8+dM7HBIs6ud4lbLjPcxNu9Pwa5bqMajiEnAbFm+prVzsZlpayhwI3fAhMnQdtIu/u/wIvng1U7etSWygxMWCJpdpD2qF/SMiaFFgyqDSbJ2BR3IHO77BD1o45JERkFjIsDn92NhcQ9k69aqrlW/zb8TD6Ser+QyUiG1e4f4dF8tno3j5EgaDJYquDZG3o/EstVuCMe4Hr3gNSfNW2K3cBL54JFH3V/mupx2DAEktBGRb/kEvXU7rRpDQHApajjibtmENCROZgcVRAsqg3E4qrbwdXq35sWYMX7U8gxVel9mvlWFzk+j2+FcdEpE0tVxiGbdgZwK3/A3KPVR83VgKvXgjs/CQi7aP4xoAllnQBiz/Dog9Y5E52OrGgz7A0O2vgFeqPSr7vroyIjOUfDgI6l5292foxnnI8pxZwA/CxfAqudf8fypEVsTbpb7q6FLAAQK/BwM3LgSFT1MeyC1h8LbDl3e43kOIaA5ZY0g8JwTck5AtYhGLTJrqageLKhfAFKVJSqdap5TPDQmQKFmdgOLmj+W+3WT/Cb+1vaI9f856NOzx3wgVHO68KX9gTb9uSnAVc+y4w9nLfG3uBd24GNr3R7ssosTFgiSVdhqVM9AIkNySHWvlR/UU30z+HLTAe7ShHkS9gyUEt4HUb2C4iAlqsEGpuOzv7M+tHuNf+pvb4Kc+l+J33Rq0OVCTpAydr0uF2ruwEqx348QvASderj4UCfDAb2Phq996X4paZ/odMfP6AJbU33LDD4jwCybeZmJnmr/jJzf0BAJIk8I09AwDUzc/qutkREVG3WXwT9oXshPBmhbzmFuvH+D9dsPJHz0z8Rb4U3Ztc2w4lSdvPSM0Aye1f3xGLFbjwGWDCzwPnProL+O6t7r0vxSUGLLGiyECdL4Wb0Q9A8B2I3M4dklEUX8ACANucuvowNQcNaA0RaawNsNhrAPjnvrUOQK61Lsd9umGgP3quwAL54qg3TW7y3ehYvEFVvLtMkoBzHwUm/sJ3QgDv3QZs/0/335viCgOWWKk/Agjf3UbGAACAJSnwH7/SPMCIVrVLbu6nHR9w6raVrzkU4moiihVrUuB3UH9j4Xee5Us8ZHtFe/yE53IskC+JQcsCmVkAsCRFqK+QJGD674HxP1UfCxl4+ya1Xgv1GAxYYkU3f0XLsCSrv8xCSEHBgVkozX21Ev1lzsDSZtQUt/EKIooFq+5mR24KvtmZaNmKp+wL1OFbAM95L8Sz8o9j1jZ9AGWNVMACqEHLeX8Gjr9SfSy7gcXXA4c3Re4zyNQYsMSKboUQMvoBkkebRa+4+gAisrP1I0I4tA3VGpx10KbackiIyFCWZF3AosvOjpb24e/2P8MpeQEAi73T8Lj3ypi2TY5WwAIAFgtw8d+AUReqjz0NwBtXAEf3R/ZzyJQYsMRKUIalPyzOUkiSusFXqJSuWSj+zI+kYJfDV0mzlkNCREbyBwJCdmrlEAZIZXjF8TjSpGYAwHK5EP/nvRlRm2DbFiU5MPE2KQITb1uy2oCfvAgMnKg+bigDFl0GNLJGVKKzGd2AHqNFhsWatEV7KJs4YJGb+8MONeX6vSMZo90eZliIDCRZ6wITbpv7A7AgHY34h/1P6C3VAgDWKyPwC88dkGE1pI1ycz9YHJWQLB5YnOWRXwVpTwKu/Cfwj3OAih/UMv5vXglc/wFgT47sZyWowfM+Duv6/Y+dH6WWdF6XMiwLFizAkCFDkJSUhMLCQqxZs6bNa0tKSnD11VdjxIgRsFgsmDNnTlfbGt9qggOWtlK6ZqPP/mxwpKsHDFioC9hvRIYlWT/hdgCskPGs/Rkca1HP71H64hb3LyNeFC4cSjQm3raUkg1c8zaQ5itWV/wV8P7PASHafx3FrbADlsWLF2POnDmYP38+Nm3ahMmTJ2PGjBkoKioKeb3L5ULv3r0xf/58nHDCCd1ucNzST1TN6K9NmhNCarfok9Hk5v5axdstSb4hIVct0FxjYKso3rDfiBxrUqAvkZsG4Le21zHV+h0A4KhIw089v0It0oxqntYuP2ty6H/jiOg1CLj634Bd3SUaW98DVv8pep9Hhgo7YHnyySdx880345ZbbsGoUaPw9NNPo6CgAM8991zI6wcPHoy//OUvuP7665GZmdmpz3C5XKitrQ36invVvl/atHzUC6+2z4biyjfnhFs/4dACqkMOBXWSbzycS5spDOw3IseaHAhYLvbsxY22ZQAAt7BilvtuHBDGF6GUmwq0FYbW5APR/bB+JwKX/QPaXJ0VfwC2fRDdzyRDhBWwuN1ubNy4EdOnTw86P336dKxbty5ijXr00UeRmZmpfRUUFETsvQ3haVbrsABA1kB8V/6dVuFWbhxkYMM6R24aqB5IwPdJvgJyHBaiTmK/EUmKFgDYvEl4XAQqvs733oyvxCijGhZMOLUdpC3OI4ClqYMXdNOIc4Gz7g88fm8WUPJddD+TYi6sgKWiogKyLCMvLy/ofF5eHkpLu7HRVQv33nsvampqtK/i4jiv+6H/zz2rAJvLN2sP5abBMW9OuOSmQFC12V/xtpYBC3UO+43IsThLIVldAIDTm2tg09VaeUueZmDLWvPfjEmSCMoKRc1pc4DjZ6rHnkbgX1cD9eXR/1yKmS5NupWk4GVyQohW57rD6XQiIyMj6CuuVetSolkDsblss/ZQy16YmD4LtDnJN3zFDAuFif1G91lTAn3JKa5GAMAyuRB/9M40qklt0t+MWZP3R/8DJUndd6h/ofq4phhYfC3gdUX/sykmwgpYcnNzYbVaW90VlZWVtbp7Ih3dhFs5cwC+q1BTlYonA8LTy6hWdZrwZkHxqJ3/d06nWlWBAQt1EvuNyLEm79OOT2p2YY/SF7/0/BzChCW19Dc6+kArqvzLndN99aOKvwQ+vTc2n01RF9ZPucPhQGFhIZYvXx50fvny5Zg0aVJEG5ZQqgOz5Hfb7WjwNADwD7XEuKhTl0haJqjBYsFuu50BC3Ua+43IyUjZCQBIVhQUuCTM8tyNOqQY3KrQ1BsddcK0OiQU4QJybUnPB658A7D6hq83vARs/mdsPpuiKuywfO7cuXjxxRfxj3/8A9u3b8fdd9+NoqIizJo1C4A6jnz99dcHvWbz5s3YvHkz6uvrUV5ejs2bN2Pbtm2R+RvEA13A8o2nWjuOh+EgP/08lk1JTpbCprCw3+i+0fbNaLKrwxtjXW78n+dn2CXMW8MJAOTGwQAAyeL2Vb2Nkf4nARc8GXj8n7uBkm9j9/kUFWFXup05cyYqKyvx0EMPoaSkBGPGjMGSJUswaJD6H1pJSUmr2grjxo3Tjjdu3Ih//vOfGDRoEPbv39+91seL6sCQ0Pra3dqx3DjUiNZ0idw4RDten5yEK8sOq6uf7EkGtoriBfuNbqovx+UZr+DP8P2+NRbgP8pEY9vUCXLTYNgz1UDBmrInth8+7lrg4AZg48uAt1mdz/KzVWrBOYpLXSrNP3v2bMyePTvkc6+88kqrc6KnVx70ZViU1N5YX/YNAEDIyaYuGNeS0twPQk6CZG3G+iQnFAhYaoqB3OFGN43iBPuNLpK9wNs3YWdKYEhlTd3FBjao87wNx2jHttTd7VwZJTMeB0q/Bw5tUPvhd25Wq+NajNmygLrHfDO1Eo3XDdSpqdCdvfqi1q0Ws/I2DEV8ffst8DYMAwDUWK3Y4bBzWIgoFj57GGL/Gnzlr4Gk2OGOg3IIACDcuYF5LCn74ZJjvGLH5gSueA1IyVUf7/kMWPFIbNtAERNP/2PGp9qDANQ7xfXJqdppufGYNl5gXnLjMO14fVISAxaiaNv2IbD2aey121BuUxPi3sYhiJ99ayXIviyLZPHg2zID5pFk9gcufxmQfP/drXkC2BHexn9kDgxYou1oYDnfV1avdiw3DAt1tanJuvTul8kMWIiiqvwH4H11CO3L5MBcMf0wSzzQt/fLki+NacSQKcBZDwYevzcLqDBgiIq6hQFLtB1V6yZ4AGz0VAEAcpNzobh7G9iorlHcvSF51CzRN0lOeKr2GtwiogTlqlcnibrrAABf9glM0JfjLGCRzRCwAMCkO4DjLlGPXbW+72+Dce2hsDFgiTbff+obkpxoVDwAgIl9JyI+6q+0JMHTqE6ybbJYsLmWAQtRxAkBfPgLoEKtueLqMwpfoRkAoHhT1Q1T44iQ0yE3qwUCt1ZuRXVztTENkSTg4meB3iPVx+XbgQ/vVL/fFBcYsERblZphWZ2SrJ2aUjDFqNZ0m6d+hHa80lPJX3aiSPtyAbD1PfXYmYH1Z8xFk6wGLHL9SMRjty03qP2GIhSsObTGuIY404ErXgcc6erjLW8DX71gXHsoLPH3kx9vqvZCAFiVolajtEk2TOoXv9U9vfUj4F8QuCrJBjRWGtoeooSyfy2w7LeBxz9+HqtqftAeeutNshtzmLx1gXavKF5hYEsA9D4WuGRB4PGy+UCRgUNV1GkMWKJJUYCqfdhvt6HYrs7qH5c3DhmOON6UTUnBibYsAMABux37Dn5hbHuIEkVtCfDWjYDw1VuZ/EuIEedh1cFVAAChWOGtj8+6R3LTQChe9aZt7aG1cMtuYxt03EXAaXepx4oX+PcNQN0RY9tEHWLAEk31pYC3CauTA8NBUwdMNbBBkTEtKzAstMrouyWiROB1A2/dADSUqY+HngGcMR87j+5EaYO6aaTcOAwQTgMb2R1W33AW0OhtxPrS9Qa3B8CPfgcMnqwe15cCb98EyB5j20TtYsASTb4Jtyt181cmD5hsVGsiZmrfwJDWSt/O00TUDcvuA4q/Uo8zC4BLXwIs1qDhk3gdDvLz1h+nHa8sXmlYOzRWG3DZy4GdnQ+sBf77gKFNovYxYImmqr2osFqw0VehclDGIAzJGNLBi8xvSL9TMMij3olsch1BZRPnsRB12Xf/Btb7Jn5aHWpl1tQcCCGwdN9S7TL9PJB45K0fDrvFDgD4rOgzyEqMdm9uT1pv4IpXAV+78MWzwJZ3jW0TtYkBSzRV7cWylBQISV3CPH3QdEhSPC5nDjby6R9wZn0TAEABcOpfnsbgeawcSRS20i3q0lq/855QdxoGsKt6F/bUqBsGntTnJAhvlgENjCDhxGn9TwMAlDeVY+ORjQY3yKfgFODcRwOPP/gFULbDuPZQmxiwRFPVXixNS9EenjvkXAMbEznNcKKwwa49tmVw23aisDUdBRZfA3jV4B/jrgMKb9Ce/mTfJ9pxovQd5w85Xztesm+JgS1p4eRbgOOvVI89DWpRueZaY9tErTBgiaIjVbuxyakOBw3NHILhWfE5wz8U0ZyHIW51WMiWsg+SrcbgFhHFEUUB3v1ZYHuLfuPU7IqPEEILWCySBdMHTTegkZE3tWAqkm3qnL5lB5YZv1rIT5KAC54C8saojyt3AR/MZp0pk2HAEi2KjGXNh7XhoHMHz0iI4SC/vaI/ZjT4ylpLgC2Dk2+JOm3V48CuZepxSo5azMwe2C/ou4rvcKj+EABgQv4E5CTnGNHKiEu2JePMgWcCAOrcdfj80OcGt0jHkQLMfB1wqrtLY/tHwLpnjG0TBWHAEiXi6AF8kBJYgnjOkHMMbE3k7RH9cG5Do/bYnrHZuMYQxZOdnwKrHlOPJQtw2T+ArIKgS97b9Z52PGPIjFi2LurOHxoYFvpoz0cGtiSE7KHATxYGHv/3AWDfasOaQ8EYsETJtgMrsNPpAAAcb8/G0MyhHbwivuwR/TDE48VxLhcAwJp8CDuqOFGNqF2Ve9ShIL8z7weGTgu6pNHTqA0HpdhScM7gxLrZmdB3AnKTcwGoy5srmiqMbVBLI84FpvxaPRYK8NZNQM0hY9tEABiwRM27Bz7Vjn+cf6qBLYmOvUpfAMCldYHdTt/+4W2jmkNkfm7fZE6Xb77XKF21VZ1P9n2CRq+avTxv6HlIsae0uiae2S12/PiYHwMAvMIblE0yjWnzgGHq0BUaK9Sifl6TzLfpwRiwREGTtwlLancBAJIVBTOOudjgFkXeEfRCvUjCefUNcCrqxLQle5egyb/igYgChAA+vAMo26Y+zvXtZxNiXps+8L9s+GWxamFMXXrspZB8O9a/s+sdKEIxuEUtWKzApS8CmQPVxwe/Bpb+n7FtIgYs0bB0/1LUQy2KdE5DI1LzTzC4RdEgYa/oizQhcK5v8m2dpw7L9i8zuF1EJrT2L8CWd9RjRzow8w115+AWtlZuxZbKLQCAkdkjcVzOca2uSQT90/pjUn+1Yvah+kNYe2itwS0KISUbmPkaYPXNRfz678C3/zK2TT0cA5YIE0Lg9W2va48vFWmAI9XAFkXPHqGWtL6srl4798b2NyC4FJAoYOenwSXfL1mg7hgcwqtbX9WOLz/28oRaWdjS5cderh0v2r7IwJa0o9844PzAcnN8eCdw0CQF73ogBiwRtr50PX44qm4HP7bZhROyQndMiWCnoq5sOMHlRnqzuhRwe9V2bDiywchmEZlH2XbgnVsA+IL4afeqOwWHcLj+sJah7OXshYuGhb4uUUwbMA0D0gYAANYdXmfeSfsnXQ+c5CvoJ7uAf13FSbgGYcASYfrsyvW1dZD6jDSwNdG1Q6gBiwTg1OpM7bz+LpGox2qsAt68EnDXqY+Puziw+iSERdsXQRbqUPJVI69Cki2pzWsTgdVixQ2jA5V9X97ysoGt6cB5TwCD1G0FUH/E9+/a0P5rKOIYsETQ3uq9WHVwFQAg3+vFWQ2N6uS6BLVDGagdn19fi7yUPADAqoOrsLdmr1HNIjKe7AH+fX2gkm3+WOCS5wBL6C73aPNRvPODOsfFaXVi5siZMWqosS4+5mL0cvYCoM79O1h30OAWtcHmUIv7ZQ1SH5d+B7w3S61YTDHDgCWCnv/uee34mpo62AAgf4xh7Ym2UmSjWqjzc0ZbinHtqGu15xZ+t7CtlxElvk9+A+xfox6n9gGufLPduWwvb3lZW8p8yTGXIDspOxatNFyyLRlXjboKACALGc9/+3wHrzBQag5w9WJ10jQAbP8QWPlo+6+hiGLAEiF7qvfg031q7ZVeQsIVdfVqFcs+iTnLXyVhh1CzLPnSUVw+4ExkObMAqEuc91TvMbBtRAb5YgGw4SX12OoArnyjVSVbvYqmCry5400AgMPiwK1jb41FK03jmlHXIN0XBHy09yNz9xt9RgGXvQT4lmRj9R+B71l/KlYYsETI898+D+GbWHdTdQ1ShFCHg+zJBrcsurbrhoVSj+7DT8f8FAAgIPC3zX8zqllExtj2QXC9jgv/AhSc0u5L/v7d39EsNwMArhhxBfJS86LZQtPJcGRo/YYiFPP3G8eeA0z/feDx+7OBA18Y154exGZ0AxLBloot+HS/ml3JdmRgZk2x+kT+WANbFRv+DAsA4MhWXDn+Rry69VVUNldi+YHl2F65HaNyRhnXQKJYKfrKV3bftyJoyq+BE69u9yV7qvfg3zv/DUAdHrl57M1RbqQ5XT3yaryx/Q1UNFVg+YHl+Lb8W5zQ28T1qybeDpRvBzYtUlcOvXklcPMyoPcIQ5ozeN7HhnxurDHD0k1CCDy+/nHt8a25p6jZFaBnBCyKLtVdugXJtmTcenwgpf3Y+sdYl4USX+Ue9T8tr5opwQlXAWe0XxlVCIHH1j8Gr/ACAG4ac5O2x05Pk2JPwW3H36Y9/sOXf4CsyAa2qAOSBJz/FDD0DPVxczWw6FKgtsTQZiU6Bizd9On+T7G5fDMAYHDGYMz0BnZoRl7iTrj1+0EMgCx847ml3wJQC0INTFczL9+UfaNt5EaUkBoq1P+smqrUx0OmAhc+E7Lsvt5nxZ/hy5IvAQD9UvvhptE3RbulpnbZsZdheK/hANR6Tqbfm8zmAGa+HrgxrSkG3rgcaK41tl0JjAFLNzR4GvDkxie1x786+VewH9kSuKAHZFiakIQfhFr8CUe2Ae5GOKwO/OaU32jX/HnDn9HoaTSohURR1FwLvHEZcHSf+rjPcep/YjZHuy+rc9fhsfWPaY/vOfmehK+70hGbxYb5E+Zrj/+y6S/m28m5JWc6cM3bgT2HjnwP/Ps6bpQYJQxYuuGpjU+htKEUAHBa/9Mwpd9pwOFN6pMZ/YG0Pga2LnY2K8eoB0IGStQsy5QBUzB1wFQAQFlTGf666a9GNY8oOjxNwJtXBX7n0/sC17wFJGW2/zqoQby/7zi176k4a+BZ0Wxp3CjMK9Qq/Na56/DQFw+Zf0g5PR+49h0gWa0ng70rgfduA8w8pBWnGLB00delX2PxzsUA1Mly8yfMB8p3AG7fvjoDxhvYutj6VgwLPDgU2GfjNyf/Bk7fxmGLti/C16Vfx7ppRNEhe4C3bgQOfK4+Tu4FXPsukDmgw5d+fuhzvLNLLRKXYkvBg5MeTOg9g8I1t3CuVodmRfEKfLjnQ4Nb1Am9jwWu+hfgz5JtfVfdd4iF5SKKAUsX1Lvr8bu1v9Me33XSXShIL1C3IPfr34MCFiV0wFKQUYA7x92pPf7t2t9yaIjinyKrVU5/UFcGwpEGXPMOkNdxzaWKpgr8du1vtce/HP9L9EvrF62WxqWc5Bz8bmKgf310/aPmrYCrN/BU4IrXAItv8e3mRcCn8wCzZ4jiCAOWMAkh8OAXD+JgvfoLNK7POFw1Uq3UiIO6Tf8GnGxA64zxgxiARuGbbHwoeOPDa4+7Fif1OUl9qv4QHv7yYfOneInaoijAx3OBLb4JoVYncNWbwIDCDl8qKzJ+s/o32ryMSf0mBe1YTAFnDjwTFw+7GIA6V/DulXejydtkcKs64dhzgEtfVIuGAsD6F4D/PcigJUIYsITprR/e0mqupNnT8IfT/wCL/4fTH7BIVqCviWsIRJgMK74XQ9QH1UVAfbn2nEWy4Pen/R4pthQAwH/2/gdv/fCWEc0k6h5FAf4zB9j4ivpYsgJXvAoMmdKplz+7+VmsL10PAOiT3AePnP4Ih4LaMe+UeRicMRgAsKNqBx7+Ik5udkb/GLh4QeDx508Bq/5oXHsSCAOWMGwq2xQ0s/+h0x5Sh4IAdbVAuW979PwxgCPFgBYaJ2hY6GDwXJWCjAI8dNpD2uPH1j+G78u/j1XTiLpPUYCP7gS+8e1ELlmAnywERszo1Mvf2/UeXvz+RQCAVbLiT1P/hJzknGi1NiGkOdLw1LSnkGxTq4V/tPcjvLbtNYNb1UknXgWc/+fA45WPAP97mJmWbmKl204qrivGXZ/dBY/iAaBWZjx70NmBC4q+gFbhckD7pbgT0UblWAC+aosH1gIjzwt6/pzB52Bz2WYs2r4IHsWDX3z2Cyw6b1Eg4CMyK0UBPrxDnZMAqJmVS/8OjLm0Uy//4vAXeOiLQMD+q5N/hZPyTopGS00v3Iqs+x87Hw+f9jDuWXUPAOCJDU+gd3JvnDf0vA5eaQIn3wJ4moFlvqXaa55QCwtO/32HNXooNAYsnVDdXI3b/3c7jrqOAlCXId5z8j3BF/l3ZgWAwacHDntIyeSvlJFQhASLJPD92v/gwhWTgp7f/9j5mFs4FzuqdmDDkQ2oaq7C7P/OxuszXkdWUpYxjSbqiNcNfDAb+N43jClZ1c3vRv+4Uy/fXLYZd6+8W6tme82oa3DNqGui1dqEdM7gc7Cneg+e+/Y5AMD8tfOR5czCpP6TOnilCUz6hboB5ie/Uh9/8SzgdQEz/ghYOMARLn7HOlDjqsHPlv8M+2rUwlBDM4fiz9P+DLvFHnzhPn3AMjmGLTSHaqRr+wqNlg4gAw2trrFb7Xj6jKcxNHMoAGB/7X78/L8/R62blSHJhNwNwL+uCgQrFhtw+cudDla+Lf8Ws/47Cw0e9XfhjIIz8Kvxv4pWaxPaz0/4OS479jIAgFfx4s4Vd+LzQ58b3KpOmvAztfKxf4fnr/+uZuxkj6HNikcMWNpR567Dz//7c2yv2g4A6J3cG8+e+SwyHBnBFzZVA6Xfqcd9RgOpPXNs+ktF3eTQIgmcbNkR8ppMZyYWnLVA2zNlS+UW3LbsNgYtZC6NVcCrFwG7/6s+tiUBV7wOHHdxp17+denXmLU8EKyc2vdU/HHKH2G1WKPV4oQmSRLum3CfVmDPJbtwx2d34H9F/zO4ZZ1UeAPw4+cDq4c2L1KLDrrqjW1XnGHA0obyxnLc9OlN+L5CnRyanZSNF6e/GHrORdEXgPAVCBrS87Irfv6ABQAmWra1eV3/tP5YePZC9HKqlSG3VG7BLUtvMX8ZbuoZqouBf5wbWKLvzASue6/VvKy2fLLvE9y2/DbUe9T/jCbkT8AzP3qmx5fe7y6rxYo/Tvkjpg+aDkDNtPxy5S+13a5N74QrgcteVoeIAGD3cuCV84H6MmPbFUcYsISwr2Yfrl1yLXYe3QkAyHJm4cXpL2Jo1tDQL9iti/J181d6mq+UUdpGiFMt37V77fBew/HSOS9pQcv2qu245uNrsLd6b9TbSdSm4vXA388AKtTffaTlATctAQZ1PF9CEQoWfrcQv179a21y/un9T8dfz/yrttKFusdutePxKY/jwqEXAgBkIePhLx/G4+sfh1fxGty6Thh9iRr8+rdvKNkMvHgWULHLyFbFDQYsLaw+uBrXLLkGhxsOA1B3UX11xqvaLqKtCAH8sFQ9ttjVnVp7qBqk4Ruhfp+GWw5hoHSk3euH9xqOf5zzD+Sn5gMADjccxrWfXBs/Y9OUWL5drN7xNvjqCGUPA25eppYp6ECNqwZ3fHZH0J5Zlw6/FH/9EYOVSLNZbPj96b/HDcfdoJ1btH0RZi2fhbLGOMhWDD4d+OlSIMO3jUP1AeDvPwr8P0JtYsDiIysy/rrpr7j9f7ejzl0HABjRawReP+91bZJoSGXbgZoi9Xjw6UBSRtvX9gCfyYHlmj+ybOrw+mN6HYM3znsDI7NHAgjMG3rmm2fi446J4p8iA/99EHjvZ4Ds22V38GTglv8CvQZ3+PJNZZsw8z8zsfrgagCABAl3jrsT90+8HzYLF2JGg0Wy4J6T78GDkx6ETVK/x1+VfoXLPrxM+3cwtT6jgFuWA3m+YNhVC/xzJrD6CdZqaQcDFgBFtUX46dKfYuF3C7VzZw48E6+c+wr6pHSw4/IPnwSOjz03Si2MH/9TxmnHnQlYAKBPSh+8cu4rmFYwTTv39+//jpuX3oziuuJIN5EooO4I8NrFwOdPBs4V3qSm7VOy231pk7cJj69/HDd8cgMO1R8CoA4fP3/W87j1+FtZxTYGfjL8J/j79L+jT7LaTx91HcXt/7sd96+7HzWuGoNb14GMfsBPPwVGXeg7IYDPHgbeuoGTcdvQowMWWZHxxvY3cNlHl+Gbsm8AqFUof1n4Szw17SmkOdI6fpOd+oDlnCi1NH78IAbgoFBXAJ1q2RZyeXMoqfZUPHPGM/hl4S9hldSVFN+UfYNLP7wUi7Ytgsyt2inS9n8OvDA5UENJsgLnPg5c8BRgtbf5MiEEPiv6DD/54CdYtH0RhK9g5Im9T8RbF74VH/VBEsj4/PF4+6K3MW3ANO3cu7vexUXvX4SP935s7nL+znTg8teAM+6Dtux52wfAC1OAw5uNbJkp9diAZVPZJlz18VV4bP1j2qZa/dP646VzXsKNY27s3N1R1b5AGfo+o4HsIVFscbyQsFRWN350SDLOta7v/CslCTeOuREvn/sy+qb2BeC7i/36cVyz5BpsKutcxoaoXbIHWPk48OqFQL1vnlVaPnDjf4BTZ7VbhXTX0V24dfmtuGvFXdoGqE6rE/eMvwevnPuKNh+LYqtXUi8886Nn8NtTf4tUeyoAoKq5CvPWzMN1n1xn7r7DYgGm/krdRNPpm1JQtUedjPvF39RKywSgBwYsRbVF+PXqX+P6T67X6qsAwMwRM/HuRe+iMK/jXVc1378dOD6eu676fSAH7jAvtqwL+/Xj+ozDexe/hytHXKmd21q5Fdd/cj1+tepXHCairiv/AXjpbHVvF60UwVRg1uftrgTafXQ3fr3617j0w0vxVclX2vnxeePx1oVv4YbRN7DGisEkScIVI67ABxd/oNVrAdQCftd/cj3u/OxO7KgKXR/KFEbMAH62EujnG1ZXPMDS/wP+eTlQc8jQpplFj5kRVlRbhBe+ewEf7/0YsggML4zoNQLzTpmH8fnjw3tDIYDvdev/O7mvSE/wnRiKfUoehliOYKJlG/rgaNjvkWpPxfxT5+OcwefgD1/9AburdwMAPt3/KZYfWI4Lhl6AW4+/FYMyBkW6+ZSIFBn46gXgfw+q+7kA6hDQ1F8DU34FtBFsbKnYgpe3vIzlB5ZrQz+Amo395fhf4qyBZ3GuisnkpebhqTOewqriVXhy45PYW6OWSlhRvAIrilfgtH6n4eaxN2N83njz/dvlDAN+ukydy7LuGfXc7v8CC04Fpj8MnHRDj96HKKEDFiEEvin7Bm9sfwOfFX0WFKhkObNwx7g7cOnwS4PujNra+2f/Y+cHnzi4Aaj4QT0eOAnIGhjx9scvCR8qp+Euy7uwSAKXWVcBuLZL7zQ+X72DfXfXu3h207M46joKWcj4YM8H+GjvR5g+aDquGnkVxvUZZ77Oh8zh8GZg9e+Aw7phgZzhwI9fAAa0zqi6ZBeW7l+KN7e/iS2VW4Ke6+XshRvH3IhrRl0Dp9UZ5YZTd0wtmIrT+p+G93e/jwWbF6C8SV2uvvbwWqw9vBajskfhsmMvw/lDz9eGkUzB5lCDk6HTgPd/rg5bumqBj+4CtrwDXPC0Gtj0QJIw9YwkVW1tLTIzM1FTU4OMjI6XDde6a7Fs/zIs3rm4VQoww5GBG0bfgKtHXh1yUm2nA5Z3bgnsMXLx34Bxof9D7imbH7Y0QCrDasfdsEgCh0U2+v1uF2DtXnxc567Dou2L8Pq217Wl534jeo3AlSOvxLmDz+3cZGkKS7i/g2agtXleBjL0scWEnwNn/g5wpGinhBDYXL4ZH+/9GEv3L0W1qzrovXKScnDTmJtw+bGXI8WegkjoqX1DOFr1u13U7G3G+7vfxytbX9FWdPkl25Jx3pDzcP7Q83FSn5PMNbTXdBRYel9gp3BArZQ78XZg8j2AU+3rYvGz1NV/i0j2HQkTsHhkDz4/9Dk+2vsRVhWvgltxBz2fk5SDq0ZehatHXY10R3qbn9WpgKWuFHhqNKB4geRsYO42wB66OFRP7pT+bn8CZ1vV1Ve44rVO78PSkXp3Pd7c8SYWbV+EquaqoOecViemFUzD+UPOx+n9T4e9ndUe1HnxHbCkI8MpAb1HqSuABk0EoFam3VqxFSuKV2DJviWt/iMDgJHZI3HVyKswY8iMiBeA68l9Q2dFKmDx8ypeLNu/DK9tew1bK7e2er53cm9MHzwd5w4+F8f3Ph4WySTTPHf/T82w1Ojm76XlA2c/CIy9AoP/75O2XxshZghY4npIqM5dh7WH1mJF8QqsObSm1V03AByfezyuGnUVzhl0TuT+8/rqBTVYAdRNrdoIVnq6V+VzAgHL2r8Aoy6KyPhrmiMNtx5/K24YfQOW7l+Kf+34F76rULcC8Kfzl+5figxHBiYPmIxpBdNwWr/T2g1UKYHZkoGz/w84dTYaFDe+KvoMqw6uwuqDq0PuX5VkTcKPBv4IV428Cif0PoFDjQnEZrHhvKHn4byh52Fb5Ta8/cPb+Hjvx2j0NgIAypvK8cb2N/DG9jeQnZSN0/qdhtP7n45J/SYhKynLuIYfcyYw+0tgzZ+BL55VCxzWlwLv3QasfQbnWKZjqTIe2tLoBBVXGZbKo5Uo9hTj69Kv8WXJl9hYuhFe0boaanZSNmYMmYELh12I0Tmjw/qsDjMs9eXAX04APA1qKf67NgOZA8J+v55B4BPHPIyy+O4KrloMjIhOcb2tFVvx/u73sXT/Uhx1tZ7ka5NsKMwvxMS+E3FK/ikYlTOKVUjDEM8ZlqUb38BWcQQbSjdga+XWoLlsfhbJglP7norzh56PMweeGZM5DT27b+icSGdYQmn0NGJF8Qp8uv9TrD20VtsHSs8iWTA6ZzQK8wpRmFeIcX3GIdOZGfW2hVS1F1g6H9i5JOj098pgPOW9DCuUEyGisADYDBmWuApYChcWwuVwhbwm3Z6O0wecjguGXoCJ/SbCbulaNqXDgOWTecBXz6nHJ98KnP8EO552nGP5Gi84nlIf5I8FfraqzRUZkeBRPPji8Bf4z97/YPXB1WjwhC5cl2pPRWFeIcbnjcfY3LE4Lue4iM1NSETxHLCMem4UrMmtf+aSrEk4te+pmFowFdMKpiE3OTem7WO/0bFYBCx6te5afFb0GVYUrcCXJV9qmZdQhvcajhN6n4DROaNxXM5xGJ41PLZD0HtXAv97OLCruM8upT9elM/D+/JpcMERsY8zQ8ASV7eYjXIjrAh0PP3T+mNawTRMK5iGwj6F0f9hKf0eWO8r329LBqbcE93PSwBLlfH4XhmMsZb96vfv65eACT+L2ufZLXZMGTAFUwZMgUf2YMORDVhZvBKrDq4KmqPQ4GnA6oOrtX1HLJIFQzOHYmzuWIzJHYMR2SNwTNYx5lo9QN02LHMYxuePx5QBU3BK/ilIsiUZ3SQykQxHBi455hJccswl8MgefFP2DdYcXIO1h9dqpRX8dh3dhV1Hd+FtqPW47BY7hvcajuNyjsMxWcdgWNYwDMschtzk3OgMKw6dptYQ+mEptr7xa4y2HACgbjz7uOXv+JVtMf4p/wj/lqfhoOhgi5k4EVcBS7YzG5MGT8LJfU/GKfmnYGD6wNiNL8te4MM7AX86+fQ5QDqrWnZMwkOe6/GW8yH14f8eUgskZRVE/ZPtVjsm9puIif0mYt4p87C/dj++Lv0a60vX4+vSr4Mm7CpCwe7q3dhdvRvv7X5PO98vtR+O6XUMjslSv4ZkDkFBeoFx6WAK20+G/wSnDzsd4/PGxzyLQvHLbrVjQt8JmNB3Au7BPahqrsKmI5uwsWwjNh7ZiB1VO6CIQBVaj+LBtspt2Fa5Leh90h3pGJY5DMOyhmFwxmAMSB+AAekD0D+tf/fn1UkSMOJcXOD24GzLRtxs+wQTLOrK2FypFnfa3sedtvexVh6NxfI0LFPGoxnxuxw/roaEqqurkZkZ3f8o2hwSOmOdOtkJAHJHALPWADZnu6+hgP2TlgLfvKo+6D8euGmJ9v0zghACe2v24tvyb/F9xffYUrEFu47uCjm/IZQMRwYGpg9EQXoBCjIKUJBegH6p/ZCfmo8+KX0S7s49noeEYtFm9gHREeshoXA0ehqxvWo7tlVuw9bKrdhWuQ37a/YHFRjsSKYzEwPSAgFMXkoe8lLy0CelD/qk9EFOck6n5trpf/5OkHbjZtsnOM/yFWxScFn/BuHECmUclsinYIVyIprQ+X6KQ0JhMmq2/uXWlcAXvqEgi02tu2Lgf7Zx6eyHgL0rgOoidcz1oznq99FizLJBSZLUlG3WMPxk+E8AqPsW7azaia2VW7Hr6C4t4xJqHkytuxZbKre0Kizm18vZC3mpechPyUdeqtoJ5SbnIic5BzlJOchOykZ2cjaLjxHFqRR7ijYJ16/B04Afjv6AvdV7sadmD/ZW78Xemr0oaSgJ+R41rhrUuGpCLrEG1KHqnKQcLYDpndwbvZJ6oVdSL+Qk5WjHkrUOQk4BYMW34hjc6bkDv8e1uNS6BpdbV2KopRQAkCq5cIH1S1xg/RJNwoG1ymisUY7HGmUs9oq+MPsqo7gKWIxwmXUVHrf9PXDi3MeAgpONa1C8Ss4CrngdeGk6ILuAb/+pTr694OluF5SLlGRbMk7scyJO7HOidk4IgdKGUuyq3oU91XtQVFeE4tpiFNUVobShtM27qaOuozjqOtrh3iWp9tRAAJOUjV5JvZDhzECGQ/3KdGaqx7pz6Y5089SHICJNqj0V4/qMw7g+44LON3gasK9mH4pqi3Cw/iAO1h3U/myvH1GEgvKmcpQ3lbcZ1ABA2rHqn0JOhvCmQsipqJOT8bKShH/IU9BXacCJ4jAKcQD5ShPSFQXpioIRync4WfkWv1UUlIpcrJXHYKMYjm+U4dgj+kVltVF3xNWQUCxTu0648SvbYtxiCxTkedl7Dh70Xg+zR6Fmdq5lPZ61P6OlKj+XR+OXnp/jCLJbXWvmdDAAuGU3DtYfRHFtMYrrilHaUIojjUe0P8sayzo9xBQOCRLSHGnIcGQg1Z6KVHsqUuwpSLGlBB7bUpBiDzxOtaUi2Z6sPZdkS0KyLRlOqxNJtqQOV9VxSKh9HBKKDrP3AZHgkT043HAYh+oPoayxTPvy9yHljeWoaKoIa6ipK5yKghQhkKIIJAsFSYoEr5IMl5KKRjkd08Yeh5S0vkh2qP2Jv89JsiW16k+Srclw2pxIsibB3ehGr6xePW9IKBYsUHCuZT1+bVuMwZYj2vlXvNMZrETAp8opmOO5HU/aF8AhyTjduhX/tfwKz3ovwRvymahH/CwtdlgdGJo5FEMzh4Z8XlZkVDZX4kjDEZQ2lqKyqRJVzVXal/9xZXNlyKKHbREQqHPXhfWajlglK5JsSXBanUEdT5JV7YykZv7cE0WD3WrHoIxB7W7k6lW8qGiqQGVzJaqaqtQMbvNRVDVX4WjzUby1aQckawMkWwMkaz0ka+jyH+1xWSxwATgaVAHAC6AGQA0WFx0M+z0BQG6K3E1blwKWBQsW4E9/+hNKSkowevRoPP3005g8eXKb169atQpz587F1q1b0a9fP/z617/GrFmzutzoiPM0AyWbgZ2fYJXjDRRYyrWn3MKKh7zXY5F8FhisRMZ/lIkocWfjOcdf0EeqRrrUhHvtb+J22wf4VD4ZS5Xx2Kgca3Qzu81qsWpjz2Mxtt1rPbJH7XxcR1HrqkWt2/cV4rjGVYNady3q3HVo8DS02oaiK2Qho8HT0Gbdmkh0OgnXbxDFiM1iQ35qPvJTQ69Mfe2jlhk+GZK1GbA0QbI2QbI2Q7IE/kSIc5LFBaelEVZLM2SLBx5zjQYB6ELAsnjxYsyZMwcLFizAaaedhhdeeAEzZszAtm3bMHBg6x2L9+3bh/POOw+33norFi1ahLVr12L27Nno3bs3Lr300vA+/GgR4E0FhAIIof4J35+tvkTgGsULuOvVHS9ddepXXSlQfQA4uh8o2wH4qhsW6P6RvlJG4j7PT7FLtF3JlrpmoxiBs11/xDzbm5hpXQmLJJAhNeIK2ypcgVXqRc88DmQPA3oNBjL6AklZ6lwYZ6Y66dnqUOe/WOy+Y92whjZBW+ra4xizA8gDkGdNB1LSgZT+nX6tR/Gi0duERm8TGryNaPA2ocHbhCbfn/5zgWua4JJdaJbdaJZdcCm6Y9mFJtkFl+xGs9wMWSgdN6ATDO03KG6ZeVM/c7NCyKmAnArRunBvm4JvV2T0s5RgmHU/BlmLcfUoNxqq9qCp7jAaJaBRktBgsaBZktQviwSXJKFJUv9s9j1X16xge4T+VmHPYZkwYQJOOukkPPfcc9q5UaNG4ZJLLsGjjz7a6vrf/OY3+PDDD7F9e6DJs2bNwrfffosvvvgi5Ge4XC64XIGUVk1NDQYOHIjiu9PUTcyiSBYSvlCOw6vydHyhjAazKtE3RDqMG6xLca71a6RJ4acyKXo8AJohodIDnPDn2i6XFjC03ygujvocljH3L43q+1P0bHnwHKOb0G2x+PnTvk9eN1B7EDjqu+E/ekD9qjsMNJQBDRWAbr5NrUug4Kn6yJQlEWFwuVzCarWKd999N+j8nXfeKaZMmRLyNZMnTxZ33nln0Ll3331X2Gw24Xa7Q77m/vvvF76/Mb/4xS8Tfe3ZsyecLoP9Br/4xS8BdK3vaCmsIaGKigrIsoy8vLyg83l5eSgtLQ35mtLS0pDXe71eVFRUoG/fvq1ec++992Lu3Lna4+rqagwaNAhFRUVRLxwX72pra1FQUBCTu8p4x+9V5/mzFdnZrVdzdYT9Rnzg70Pn8XvVed3pO1rq0qTblgXchBDtFnULdX2o835OpxNOZ+uCWpmZmfzh6KSMjAx+rzqJ36vOs3Sj0B/7jfjA34fO4/eq87rTd2jvEc7Fubm5sFqtre6KysrKWt0N+eXn54e83mazIScnJ8zmElG8Yb9BRJEQVsDicDhQWFiI5cuXB51fvnw5Jk2aFPI1EydObHX9smXLMH78eNjtMdyKm4gMwX6DiCIi3Ekv//rXv4TdbhcvvfSS2LZtm5gzZ45ITU0V+/fvF0IIMW/ePHHddddp1+/du1ekpKSIu+++W2zbtk289NJLwm63i7fffrvTn9nc3Czuv/9+0dzcHG5zexx+rzqP36vO6+73iv2G+fH71Xn8XnVeJL9XYQcsQgjxt7/9TQwaNEg4HA5x0kkniVWrVmnP3XDDDWLq1KlB169cuVKMGzdOOBwOMXjwYPHcc891q9FEFH/YbxBRd8TFXkJERETUs5mw+C4RERFRMAYsREREZHoMWIiIiMj0GLAQERGR6cVdwDJ48GBIkhT0NW/ePKObZQoLFizAkCFDkJSUhMLCQqxZs8boJpnSAw880OpnKD8/9LbtPc3q1atx4YUXol+/fpAkCe+//37Q80IIPPDAA+jXrx+Sk5Mxbdo0bN261ZjGhol9R9vYd3SM/Ub7YtF3xF3AAgAPPfQQSkpKtK/77rvP6CYZbvHixZgzZw7mz5+PTZs2YfLkyZgxYwaKioqMbpopjR49Ouhn6Pvvvze6SabQ0NCAE044Ac8++2zI5//4xz/iySefxLPPPouvv/4a+fn5OPvss1FXVxfjlnYN+47W2Hd0HvuNtsWk7zB2VXX4Bg0aJJ566imjm2E6p5xyipg1a1bQuZEjR4p58+YZ1CLzuv/++8UJJ5xgdDNMD4B47733tMeKooj8/Hzx2GOPaeeam5tFZmameP755w1oYXjYd4TGvqNz2G90XrT6jrjMsDz++OPIycnBiSeeiD/84Q9wu91GN8lQbrcbGzduxPTp04POT58+HevWrTOoVea2a9cu9OvXD0OGDMGVV16JvXv3Gt0k09u3bx9KS0uDfs6cTiemTp0aNz9n7DuCse8ID/uNrolU39Gl3ZqNdNddd+Gkk05Cr169sH79etx7773Yt28fXnzxRaObZpiKigrIstxqI7m8vLxWG8gRMGHCBLz22ms49thjceTIEfz+97/HpEmTsHXrVm6s1w7/z1Kon7MDBw4Y0aSwsO9ojX1H57Hf6LpI9R2myLCEmszU8mvDhg0AgLvvvhtTp07F8ccfj1tuuQXPP/88XnrpJVRWVhr8tzCeJElBj4UQrc4RMGPGDFx66aUYO3YszjrrLHz88ccAgFdffdXglsUHM/2cse+IDDP9m5oV+43u6+7PmSkyLL/4xS9w5ZVXtnvN4MGDQ54/9dRTAQC7d+/usVFubm4urFZrqzuisrKyVhEttZaamoqxY8di165dRjfF1PwrIkpLS9G3b1/tvJE/Z+w7uod9R9ex3+i8SPUdpghYcnNzkZub26XXbtq0CQCCvgk9jcPhQGFhIZYvX44f//jH2vnly5fj4osvNrBl8cHlcmH79u2YPHmy0U0xtSFDhiA/Px/Lly/HuHHjAKhzIFatWoXHH3/ckDax7+ge9h1dx36j8yLVd5giYOmsL774Al9++SXOOOMMZGZm4uuvv8bdd9+Niy66CAMHDjS6eYaaO3currvuOowfPx4TJ07EwoULUVRUhFmzZhndNNO55557cOGFF2LgwIEoKyvD73//e9TW1uKGG24wummGq6+vx+7du7XH+/btw+bNm5GdnY2BAwdizpw5eOSRRzB8+HAMHz4cjzzyCFJSUnD11Vcb2OqOse9oG/uOzmG/0b6Y9B2RWsYUCxs3bhQTJkwQmZmZIikpSYwYMULcf//9oqGhweimmcLf/vY3MWjQIOFwOMRJJ50kVq1aZXSTTGnmzJmib9++wm63i379+omf/OQnYuvWrUY3yxRWrFghALT6uuGGG4QQ6vLE+++/X+Tn5wun0ymmTJkivv/+e2Mb3QnsO9rHvqNj7DfaF4u+QxJCiIiFWERERERRYIpVQkRERETtYcBCREREpseAhYiIiEyPAQsRERGZHgMWIiIiMj0GLERERGR6DFiIiIjI9BiwEBERkekxYCEiIiLTY8BCREREpseAhYiIiEzv/wHB2+AlWu9tLQAAAABJRU5ErkJggg==\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "g = Gaussian()\n",
    "x_train = np.random.normal(0., 1, 300)\n",
    "g.fit(x_train)\n",
    "v = t.fit(x_train)[-1]\n",
    "x = np.linspace(-5, 10, 1000)\n",
    "y = g.pdf(x)\n",
    "plt.subplot(1, 2, 1)\n",
    "plt.xlim(-5, 10)\n",
    "plt.ylim(0, 0.5)\n",
    "plt.hist(x_train, bins=15, density=True)\n",
    "plt.plot(x, y, linewidth=2, label=\"G\")\n",
    "plt.plot(x, t.pdf(x, v), linewidth=2, label='T')\n",
    "plt.legend()\n",
    "plt.subplot(1, 2, 2)\n",
    "plt.xlim(-5, 10)\n",
    "plt.ylim(0, 0.5)\n",
    "x_train = np.concatenate([x_train, [8., 8.5, 9.] * 15])\n",
    "g.fit(x_train)\n",
    "v = t.fit(x_train)[-1]\n",
    "plt.hist(x_train, bins=15, density=True)\n",
    "plt.plot(x, g.pdf(x), linewidth=2, label=\"G\")\n",
    "plt.plot(x, t.pdf(x, v), linewidth=2, label='T')\n",
    "plt.legend()\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "markdown",
   "source": [
    "### 1.1.3 Laplace central limit theorem"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%% md\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 3 Axes>",
      "image/png": "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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x_train = np.random.uniform(0., 1., 100000)\n",
    "plt.subplot(1, 3, 1)\n",
    "plt.xlim(0, 1)\n",
    "plt.ylim(0, 5)\n",
    "plt.hist(x_train, bins=30, density=True)\n",
    "plt.annotate('N=1', (0.1, 4.5))\n",
    "plt.subplot(1, 3, 2)\n",
    "plt.hist((x_train + np.random.uniform(0., 1., 100000)) * 0.5, bins=30, density=True)\n",
    "plt.annotate('N=2', (0.1, 4.5))\n",
    "plt.xlim(0, 1)\n",
    "plt.ylim(0, 5)\n",
    "plt.subplot(1, 3, 3)\n",
    "plt.xlim(0, 1)\n",
    "plt.ylim(0, 5)\n",
    "for _ in range(8):\n",
    "    x_train += np.random.uniform(0., 1., 100000)\n",
    "plt.hist(x_train * 0.1, bins=30, density=True)\n",
    "plt.annotate('N=10', (0.1, 4.5))\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "markdown",
   "source": [
    "### 1.1.4 Multi-Gaussian"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%% md\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.stats import multivariate_normal\n",
    "x, y = np.meshgrid(np.linspace(-1,1,200), np.linspace(-1, 1, 200))\n",
    "mg = multivariate_normal([0.5, -0.2], [[2.0, 0.3], [0.3, 0.5]])\n",
    "pos = np.dstack((x, y))\n",
    "plt.contour(x, y, mg.pdf(pos))\n",
    "plt.gca().set_aspect('equal')\n",
    "plt.title(\"general condition\")\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mg = multivariate_normal([0., 0.], [[1.0, 0.], [0., 1.0]])\n",
    "plt.contour(x, y, mg.pdf(pos))\n",
    "plt.gca().set_aspect('equal')\n",
    "plt.title(\"isotropy\")\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 2 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mg = multivariate_normal([0., 0.], [[5.0, 0.], [0., 2.0]])\n",
    "pcm = plt.contourf(x, y, mg.pdf(pos))\n",
    "plt.colorbar(pcm)\n",
    "plt.gca().set_aspect('equal')\n",
    "plt.title(\"diagonal\")\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "outputs": [],
   "source": [],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  }
 ],
 "metadata": {
  "kernelspec": {
   "name": "tensorflow2",
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